Greatest Common Factor of 744/871, 775/174, 253/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/871, 775/174, 253/480

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 744/871,775/174,253/480

Given fractions are 744/871,775/174,253/480

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 744,775,253

Greatest Common Factor of Numerators i.e. GCF of 744,775,253 is 1 .

LCM of Denominators means LCM of 871,174,480 as per the given fractions.

LCM of 871,174,480 is 12124320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,775,253

GCF of Fractions 744/871,775/174,253/480 is 1/12124320

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 744,775,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,775,253 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 744,775,253 . The biggest common factor number is the GCF number.
So the greatest common factor 744,775,253 is 1.

Lets's calculate LCM of 871,174,480

2 871, 174, 480
3 871, 87, 240
871, 29, 80

∴ So the LCM of the given numbers is 2 x 3 x 871 x 29 x 80 = 12124320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12124320

Therefore, the GCF of Fractions 744/871,775/174,253/480 is 1/12124320

Least Common Multiple of 871,174,480 with GCF Formula

Least Common Multiple of 871,174,480 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 871,174,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,174,480) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(871,174,480) x common factors =1 x 6 = 6

LCM(871,174,480) = ( 871 × 174 × 480 ) / 6

LCM(871,174,480) = 72745920 / 6

LCM(871,174,480) = 12124320


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 744/871, 775/174, 253/480

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 744/871, 775/174, 253/480?

Answer: GCF of Numerators as per given numbers 744/871, 775/174, 253/480 is

GCF of Numerators i.e. for 744,775,253 is 1

LCM of denominators i.e. for 871,174,480 is 12124320.

Thus, GCF of Fractions is 1/12124320.Finally, GCF of Fractions for 744/871, 775/174, 253/480 is 1/12124320.